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Simplifying -3(-6 + 5k) = 7k + -7(5k + 3) (-6 * -3 + 5k * -3) = 7k + -7(5k + 3) (18 + -15k) = 7k + -7(5k + 3) Reorder the terms: 18 + -15k = 7k + -7(3 + 5k) 18 + -15k = 7k + (3 * -7 + 5k * -7) 18 + -15k = 7k + (-21 + -35k) Reorder the terms: 18 + -15k = -21 + 7k + -35k Combine like terms: 7k + -35k = -28k 18 + -15k = -21 + -28k Solving 18 + -15k = -21 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 18 + -15k + 28k = -21 + -28k + 28k Combine like terms: -15k + 28k = 13k 18 + 13k = -21 + -28k + 28k Combine like terms: -28k + 28k = 0 18 + 13k = -21 + 0 18 + 13k = -21 Add '-18' to each side of the equation. 18 + -18 + 13k = -21 + -18 Combine like terms: 18 + -18 = 0 0 + 13k = -21 + -18 13k = -21 + -18 Combine like terms: -21 + -18 = -39 13k = -39 Divide each side by '13'. k = -3 Simplifying k = -3
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